on a standardized exam, the scores are normally distributed with a mean of 650 and a standard deviation of…

on a standardized exam, the scores are normally distributed with a mean of 650 and a standard deviation of 20. find the z - score of a person who scored 650 on the exam.

on a standardized exam, the scores are normally distributed with a mean of 650 and a standard deviation of 20. find the z - score of a person who scored 650 on the exam.

Answer

Explanation:

Step1: Recall z - score formula

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the individual score, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $x = 650$, $\mu=650$, and $\sigma = 20$.

Step3: Substitute values into formula

$z=\frac{650 - 650}{20}=\frac{0}{20}=0$

Answer:

0